ME-437: Advanced solid mechanics

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Lectures in this course (66)

Elastic Inclusions

Explores elastic inclusions, discussing strain and stress fields, Eshelby method, and energy storage.

Elastic Inhomogeneity: Eshelby's Solution

Covers elastic inhomogeneity and Eshelby's solution for matching shapes and stresses of inclusions.

Ellipsoidal Void Stress Concentrations

Explores stress concentrations on ellipsoidal void surfaces and the impact of inclusion on stress distribution.

Effective Elastic Moduli

Explains effective elastic moduli in composite materials and the Eshelby inclusion theory for stress and strain analysis.

Fracture Mechanics: Introduction and Crack Analysis

Covers fracture mechanics fundamentals, including crack analysis and growth conditions.

Crack Growth: Stress Intensity and Fracture Mechanics

Explores crack growth, stress intensity factors, and fracture mechanics in materials, emphasizing energy considerations and critical stress intensity for crack growth onset.

Weibull Model: Random Data

Explores the Weibull model's application to random data and its significance in analyzing material strength and failure probability.

Fracture Mechanics: Stress Intensity Factor and Crack Growth

Explores stress intensity factors, crack-tip energy dissipation, and the effect of cracks on modulus in fracture mechanics.

Cohesive Zone in Fracture Mechanics

Explores crack-tip energy dissipation, the Cohesive Zone concept, and Atomistic Cohesive Zone Law in fracture mechanics.

Crack Growth Analysis

Discusses stress intensity at crack tips, toughening mechanisms, fiber bridging, and void nucleation in materials.

Fracture Mechanics: Cohesive Zone Modeling

Explores crack-tip energy dissipation, cohesive zone modeling, stress intensity, and small-scale yielding in fracture mechanics.

Fracture Analysis: Energy and Mechanics

Explores macroscopic energy analysis of fracture, focusing on unstable crack growth and energy mechanics.

Fracture Mechanics: Mixed-Mode Loading

Explores fracture mechanics under mixed-mode loading, covering crack growth modes, energy release rates, and material parameters.

Stress, Strain, Equilibrium: Elasticity

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.

Elasticity: Hooke's Law

Covers Hooke's Law in elasticity, discussing stiffness and compliance tensors.

Anisotropic Elasticity: Examples

Covers anisotropic elasticity with examples of materials having varying properties in different directions.

Anisotropic Elasticity 2: Symmetry Operations, Multiphysics

Covers anisotropic elasticity, symmetry operations, and multiphysics in material science.

Anisotropic Elasticity: Stroh Formulation

Explores the Stroh formulation for anisotropic elasticity, emphasizing challenges and generalized solutions.

Boundary Value Problems in Elasticity: Superposition, Work-Energy

Covers stress-strain relations, superposition principle, and work-energy theorem.

Configurational Forces: Understanding Interaction Energy in Solid Mechanics

Explores configurational forces and interaction energy in solid mechanics.

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